A ball is dropped from a bridge that is 45 m above the water. It falls directly into a boat which is moving with constant velocity. The boat is 12 m away from the point of impact when the ball is dropped. The speed of the boat is (Take g =10 m / s 2 )

Question

A ball is dropped from a bridge that is 45 m above the water. It falls directly into a boat which is moving with constant velocity. The boat is 12 m away from the point of impact when the ball is dropped. The speed of the boat is (Take g =10 m / s 2 ) (A) 2 m/s (B) 3 m/s (C) 4 m/s (D) 5 m/s

Tardigrade Admin · Accepted Answer

In given situation. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/62f18eb8b94b64bb7b877bd43732e7aa-.png" /> Time taken by ball to cover 45 m = Time taken by boat to cover 12 m ⇒ √(2 h/g)=( text Distance (x)/ text Speed (v)) ⇒ √(2 × 45/10)=(12/s) ⇒ v=4 m / s

Q. A ball is dropped from a bridge that is $45 m$ above the water. It falls directly into a boat which is moving with constant velocity. The boat is $12 m$ away from the point of impact when the ball is dropped. The speed of the boat is (Take $g = 10 m / s^{2}$ )

2 m/s

3 m/s

4 m/s

5 m/s

In given situation.

Time taken by ball to cover $45 m$
$=$ Time taken by boat to cover $12 m$
$\Rightarrow \frac{2 h}{g} = \frac{Distance ( x )}{Speed ( v )}$
$\Rightarrow \frac{2 \times 45}{10} = \frac{12}{s}$
$\Rightarrow v = 4 m / s$

Q. A ball is dropped from a bridge that is 45m above the water. It falls directly into a boat which is moving with constant velocity. The boat is 12m away from the point of impact when the ball is dropped. The speed of the boat is (Take g=10m/s2 )